A solution of the dimension subgroup problem

DOI10.1016/0021-8693(91)90182-8zbMath0729.20002OpenAlexW2028225607MaRDI QIDQ805733

Narain Gupta

Publication date: 1991

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90182-8

zbMATH Keywords

lower central seriesintegral group ringaugmentation idealmetabelian p-groupsdimension subgroup

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Some remarks on subgroups determined by certain ideals in integral group rings ⋮ Group and Lie algebra filtrations and homotopy groups of spheres ⋮ Dimension quotients of metabelian Lie rings

Cites Work

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• Dimension subgroups of metabelian p-groups
• On the dimension subgroups of metabelian groups
• Dimension and lower central subgroups
• On the fourth integer dimension subgroup
• Free Group Rings
• The Dimension Subgroup Conjecture
• Über Beziehungen zwischen höheren Kommutatoren.

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